Mathematics – Probability
Scientific paper
2006-03-24
Infinite Dimensional Analysis, Quantum Probability and Related Topics, V. 9, No. 2 (2006), P.199--213
Mathematics
Probability
15 pages
Scientific paper
Gaussian random field on general ultrametric space is introduced as a solution of pseudodifferential stochastic equation. Covariation of the introduced random field is computed with the help of wavelet analysis on ultrametric spaces. Notion of ultrametric Markovianity, which describes independence of contributions to random field from different ultrametric balls is introduced. We show that the random field under investigation satisfies this property.
Khrennikov Andrei Yu.
Kozyrev S. V.
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